On the dynamics in parameter planes of the Lorenz–Stenflo system

Abstract

We report parameter planes displaying dynamical behaviors of the four-variable, four-parameter Lorenz–Stenflo system, which describes the time evolution of nonlinear low-frequency short-wavelength gravity wave disturbance in a rotating atmosphere. All the six parameter combinations two by two are considered. By using Lyapunov exponents spectra to characterize the dynamics of the Lorenz–Stenflo system, we show that hyperchaos is not present. Chaotic, quasiperiodic, periodic, and equilibrium point regions are delimited in the considered parameter planes.